Geometry of CR-Submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of CR-Submanifolds write by Aurel Bejancu. This book was released on 2012-12-06. Geometry of CR-Submanifolds available in PDF, EPUB and Kindle. Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can us;; Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Geometry of Cauchy-Riemann Submanifolds
Geometry of Cauchy-Riemann Submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Cauchy-Riemann Submanifolds write by Sorin Dragomir. This book was released on 2016-05-31. Geometry of Cauchy-Riemann Submanifolds available in PDF, EPUB and Kindle. This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.
The Geometry of CR-submanifolds
The Geometry of CR-submanifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of CR-submanifolds write by Yen Yen Ng. This book was released on 1995. The Geometry of CR-submanifolds available in PDF, EPUB and Kindle.
CR Submanifolds of Kaehlerian and Sasakian Manifolds
CR Submanifolds of Kaehlerian and Sasakian Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook CR Submanifolds of Kaehlerian and Sasakian Manifolds write by Kentaro Yano. This book was released on 2012-12-06. CR Submanifolds of Kaehlerian and Sasakian Manifolds available in PDF, EPUB and Kindle.
CR Submanifolds of Complex Projective Space
CR Submanifolds of Complex Projective Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook CR Submanifolds of Complex Projective Space write by Mirjana Djoric. This book was released on 2009-10-09. CR Submanifolds of Complex Projective Space available in PDF, EPUB and Kindle. Althoughsubmanifoldscomplexmanifoldshasbeenanactive?eldofstudyfor many years, in some sense this area is not su?ciently covered in the current literature. This text deals with the CR submanifolds of complex manifolds, with particular emphasis on CR submanifolds of complex projective space, and it covers the topics which are necessary for learning the basic properties of these manifolds. We are aware that it is impossible to give a complete overview of these submanifolds, but we hope that these notes can serve as an introduction to their study. We present the fundamental de?nitions and results necessary for reaching the frontiers of research in this ?eld. There are many monographs dealing with some current interesting topics in di?erential geometry, but most of these are written as encyclopedias, or research monographs, gathering recent results and giving the readers ample usefulinformationaboutthetopics. Therefore, thesekindsofmonographsare attractive to specialists in di?erential geometry and related ?elds and acce- able to professional di?erential geometers. However, for graduate students who are less advanced in di?erential geometry, these texts might be hard to read without assistance from their instructors. By contrast, the general philosophy of this book is to begin with the elementary facts about complex manifolds and their submanifolds, give some details and proofs, and introduce the reader to the study of CR submanifolds of complex manifolds; especially complex projective space. It includes only a few original results with precise proofs, while the others are cited in the reference list.
